Department of Mathematics Server University of Manitoba

Publications

Dr. Thomas G. Kucera

1. Kucera, T. G. and Pillay, Anand. Saturated free algebras and almost indiscernible theories
   Algebra Universalis 83(1), 2022. article
   MR4376198 (03C45, (03C05, 03C60, 16D40).
2. Kucera, T. G. and Mazari Armida, Marcos. On universal modules with pure embeddings.
   Mathematical Logic Quarterly 66(4). 395—408, 2020 article
   MR4267045 (03C48, (03C45, 03C60, 13L05, 16D10)
3. Bradd Hart, Thomas G. Kucera, Anand Pillay, and Robert A. G. Seely, editors, Models, Logics, and Higher Dimensional Categories: a tribute to the work of Mihàly Makkai, volume 53 of CRM Proceedings and Lecture Notes. American Mathematical Society, Providenc, RI, 2011. (00B25 (03-06 03C45 03C52 03C90 03G30 18-06)) [MR2848606]
4. Enns, Clint and Kucera, T. G., Purity and pure-injectivity for topological modules, in the preceding volume, 55—77. (03C80 (03C07 03C85)) [MR2867964]
5. Kucera, Thomas G., Mihàly Makkai: a biographical note, with reminiscences. In the preceding volume, ix—x.
6. Kucera, T. G., The structure of the indecomposable Σ-pure-injective modules (a survey of basic results and problems). In Proceedings of the International Conference on Modules and Representation Theory, 85—102. Presa Univ. Clujeanä, Cluj-Napoca, 2009. (16D50 (03C60 16B70)) [MR2603206]
7. Kucera, T. G., Explicit descriptions of the indecomposable injective modules over Jategaonkar's rings, Comm. Alg., 30(12), 6023—6054, 2002. (16D50 (16P50 16S36)) [MR1941940]
8. Kucera, T. G.; Rothmaler, Ph., Pure-projective modules and positive constructibility. J. Symbolic Logic 65 (2000), no. 1, 103—110. (03C60 (03C45 16D80)) [MR1782109]
9. Chartrand, R.; Kucera, T. Deissler rank complexity of powers of indecomposable injective modules. Notre Dame J. Formal Logic 35 (1994), no. 3, 398—402. 03C60 (13C11) [MR1326121]
10. Kucera, T. G. The regular hierarchy in modules. Comm. Algebra 21 (1993), no. 12, 4615—4628. 16D50 (03C45 03C60) [MR 94m:16005]
11. Kucera, T. G.; Prest, M. Four concepts from "geometrical" stability theory in modules. J. Symbolic Logic 57 (1992), no. 2, 724—740. 03C45 (03C60 16D80) [MR 93h:03045]
12. Kucera, T. G.; Prest, M. Imaginary modules. J. Symbolic Logic 57 (1992), no. 2, 698—723. 03C45 (03C60 16D80) [MR 93h:03044]
13. Kucera, T. G. Explicit descriptions of injective envelopes: generalizations of a result of Northcott. Comm. Algebra 17 (1989), no. 11, 2703—2715. 16D50 (03C60) [MR 91e:16005]
14. Kucera, T. G. Totally transcendental theories of modules: decomposition of models and types. Ann. Pure Appl. Logic 39 (1988), no. 3, 239—272. 03C45 (03C60 13L05 16A99) [MR 90a:03042]
15. Kucera, T. G. Positive Deissler rank and the complexity of injective modules. J.Symbolic Logic 53 (1988), no. 1, 284—293. 03C60 (13C11) [MR 89i:03066]
16. Kucera, T. G. Generalizations of Deissler's minimality rank. J. Symbolic Logic 53 (1988), no. 1, 269—283. 03C45 (03C60) [MR 89i:03065]
17. Kucera, T. G. Stability theory for topological logic, with applications to topological modules. J. Symbolic Logic 51 (1986), no. 3, 755—769. 03C85 (03C45 54H99) [MR 88b:03057]
18. Kucera, T. G.; Sands, B. Lattices of lattice homomorphisms. Algebra Universalis 8 (1978), no. 2, 180—190. 06A20 [MR 57 #3019]